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3 years ago

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis,and rotated 180°, where would point A' lie?

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

6 0

Point A is (-4,1) .Point A is reflected along y axis so y will remain same and x coordinate will have opposite sign .The reflected point A' ---(4,1) .The point is now reflected along x axis so its x ordinate will remain same and y will be at an equal distance from x axis The new reflected point is A" (4,-1) .The point is now rotated 180 degrees the x and y coordinate changes sign so the rotated final point is A"'( -4,1).

valentina_108 [34]3 years ago

3 0

The answer to the problem is as follows:

(x,y)−−−>(−x,y)
---->it is reflect across y axis 
(x,y)−−−−>(x,−y)
--->across x axis

rotate 180 (x,y) ---> (-x,-y)

so it's (-4,1) i am right

I hope my answer has come to your help. God bless and have a nice day ahead!

You might be interested in

Find m angle TUV if m angle TUN=1+38 pi m angle NUV=66^ m angle TUV=105x

ipn [44]

Answer:

m∠TUV = 105

Step-by-step explanation:

From the question given above, the following data were obtained:

m∠TUN = 1 + 38x

m∠NUV = 66°

m∠TUV = 105x

m∠TUV =?

Next, we shall determine the value of x. This can be obtained as illustrated below:

m∠TUV = m∠TUN + m∠NUV

105x = (1 + 38x) + 66

105x = 1 + 38x + 66

Collect like terms

105x – 38x = 1 + 66

67x = 67

Divide both side by 67

x = 67 / 67

x = 1

Finally, we shall determine the value of m∠TUV. This can be obtained as shown below:

m∠TUV = 105x

x = 1

m∠TUV = 105(1)

m∠TUV = 105

5 0

3 years ago

suppose 60% of kids who visit a doctor have a fever, and 20% of kids with a fever have sore throats. what's the probability that

kkurt [141]

Answer:

0.12

Step-by-step explanation:

Suppose there are 100 kids

60% have fever, so what is 60% of 100?

We convert percentage to decimal and multiply:

60/100 = 0.6

0.6 * 100 = 60 have fever

20% of the people having fever (60 of them) have sore throats, so,

What is 20% of 60?

We convert percentage to decimal and multiply:

20/100 = 0.2

0.2 * 60 = 12 have sore throat

So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:

$\frac{12}{100}=0.12$

3 0

3 years ago

35/20 in simplest form

Andrew [12]

Answer:

7/4

Step-by-step explanation:

35 divided by 5

20 divided by 5

3 0

3 years ago

Read 2 more answers

John walks 3 miles in 5 hours for his exercise routine. Find the Unit rate

Brilliant_brown [7]

John walks 0.6 miles in 1 hour.

Step-by-step explanation:

Distance walked by John = 3 miles

Time period = 5 hours

5 hours = 3 miles

Unit rate is the ratio of two measurements, in which one measurement is one, therefore,

1 hour = $\frac{3}{5}\ miles$

$1\ hour=0.6\ miles$

John walks 0.6 miles in 1 hour.

Keywords: ratio, distance

Learn more about distances at:

#LearnwithBrainly

3 0

3 years ago

The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.

VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

$\int\limits^2_{-1} {(f(x) - g(x))} \, dx$

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx$

We know that:

$\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}$

$\int\limits^{}_{} {1} \, dx = x$

$\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}$

Then our integral is:

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )$

The right side is equal to:

$(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6$

The bounded area is 5 + 5/6 square units.

3 0

3 years ago